Gudu Kalkuleta

Yi ƙididdige saurin gudu, nisa, lokaci, ko haɓakawa nan take tare da hanyoyi da yawa da cikakkun jujjuyawar raka'a.

Shigar da ƙimar saurin gudu har zuwa 10 don ƙididdige matsakaicin su.

Sakamakon Live
Shirya
Shigar da ƙima kuma latsa Lissafi

Formula

Ana ƙididdige saurin gudu ta amfani da:

v = d / t
v = gudu
d = nisa
t = lokaci

Wannan kalkuleta mai saurin gudu yana ƙididdige saurin abu ta hanyar amfani da hanyoyi 3: nisa da lokaci, hanzari da lokaci, ko matsakaicin tsarin saurin gudu a cikin sassa da yawa. Gudun gudu yana bayyana ƙimar canjin matsayi dangane da lokaci kuma yana aiki azaman adadin vector a cikin injiniyoyi na gargajiya.

Kayan aikin yana dawo da gudu cikin raka'a-mita 4 a sakan daya (m/s), kilomita cikin awa daya (km/h), mil a awa daya (mph), da ƙafafu a sakan daya (ft/s) -kuma yana goyan bayan ƙididdigewa don saurin layi, matsakaita gudu, saurin nan take, tsayin tasha, tsayin tasha, da saurin gudu. Kowane sashe ya haɗa da zane mai ma'amala wanda ke kwatanta tushen kimiyyar lissafi don haka dabara da motsin sun kasance suna haɗi.

Menene Gudu? - Ma'anar Gudu

Gudu shine adadin canjin matsayi na abu dangane da lokaci, wanda aka auna shi azaman ƙaura zuwa lokaci, tare da girma da shugabanci. Gudu wani nau'in vector ne a cikin injiniyoyi na gargajiya, yayin da saurin sikelin adadi ne wanda ke yin rikodin girma kawai.

Gudu yana bayyana halayen motsi guda 3:

  • Girma. Ƙimar lambobi na saurin da aka bayyana a cikin mita a cikin daƙiƙa guda (m/s), kilomita a kowace awa (km/h), mil a kowace awa (mph), ko ƙafa a sakan daya (ft/s).
  • Hanyar. Bangaren vector wanda ke bambanta gudu daga sauri kuma yana ba da damar ingantattun alamu ko mara kyau a cikin motsi mai girma 1.
  • Firam ɗin magana. Tsarin daidaitawa da aka yi amfani da shi don ƙaura, lokaci, da ƙari mai jujjuyawar ƙarfi a cikin mahallin kuzari ko astrophysics.

Ma'anar saurin ya miƙe zuwa nau'i na musamman: saurin kusurwa don motsi na juyawa, saurin madaidaiciya don motsi madaidaiciya, saurin saurin sauri a lokaci guda, matsakaicin gudu akan tazara, saurin tasha don abubuwan faɗowa kyauta, tserewa saurin barin sararin sama's motsin juyi, saurin madaidaiciya don motsin layi madaidaiciya, saurin saurin sauri a cikin lokaci guda, matsakaicin saurin gudu akan tazara, saurin tasha don faɗuwa kyauta, tserewa saurin barin sararin samaniyar sararin samaniya's gravitational ja, da kusancin E-Spelocity. E=mc2 yana aiki.

Ma'amala: Matsala Tsawon Lokaci

Danna kunna don kallon motsin abu. Gudun gudu yana daidai da gangaren layin matsayi.

t = 0.0 s ku x = 0.0 m v = 10 m/s

Tsarin Gudun Wuta

Tsarin saurin gudu shine v = d / t, inda v shine gudu, d shine ƙaura, kuma t shine lokaci. Wannan ma'aunin saurin gudu yana samar da matsakaicin matsakaicin gudu a kan hanyar motsi akai-akai.

Matsakaicin saurin gudu 4 sun rufe mafi yawan matsalolin motsi:

  1. Mahimmin daidaiton saurin gudu: v = d / t. Yi amfani da wannan lokacin da abu ya rufe nisa d a cikin lokaci t a akai-akai gudun a cikin akai akai.
  2. Gudu tare da hanzari: v = ku + a · t. Aiwatar da wannan lokacin da farkon saurin ku, haɓakawa a, da lokaci suka kasance knnasu, gama gari a cikin injiniyoyi na gargajiya da motsin tsinkaya.
  3. Matsakaicin dabarar saurin gudu: v̄ = (v1 t1 + v2 t2 + ...) / (t1 + t2 + ...). Wannan ma'auni-matsakaicin tsari yana ɗaukar tafiye-tafiye tare da sassa masu saurin gaske.
  4. Gudun daga tsayi: v = √(2 g h). Aiwatar da wannan don wani abu mai faɗowa kyauta wanda aka sauke daga tsayi h ƙarƙashin ja mai nauyi g.

Kowane ma'aunin saurin gudu yana raguwa zuwa ainihin alaƙa lokacin da motsi ya kasance iri ɗaya. Raka'o'in mulkin mallaka na Biritaniya ƙafa a cikin daƙiƙa guda (ft/s) da mil a sa'a guda (mph) suna bin ma'auni iri ɗaya da mitocin tsarin SI a sakan daya (m/s) da kilomita cikin awa ɗaya (km/h).

Ma'amala: Maginin Tsarin Sauri

Daidaita nisa da lokaci don ganin yadda saurin ya canza.

v = 100 m 10 s = 10 m/s

Yadda ake ƙididdige saurin gudu?

Don ƙididdige saurin gudu, raba ƙaura zuwa lokacin da aka ɗauka don tafiya wannan ƙaura.

Matakai 3 sun rufe tsarin lissafin saurin gudu:

  1. Auna ƙaura. Yi rikodin nisa madaidaiciya da jagora daga wurin farawa zuwa ƙarshen ƙarshen. Yi amfani da mita don tsarin SI ko ƙafafu don raka'o'in masarautar Burtaniya.
  2. Yi rikodin lokacin da ya wuce. Kula da tazarar lokaci a cikin daƙiƙa, mintuna, ko sa'o'i, sannan canza zuwa raka'a ɗaya kafin rarrabawa.
  3. Aiwatar da ma'aunin saurin gudu. Raba ƙaura ta lokaci. Mayar da sakamakon zuwa naúrar fitarwa da ake so, kamar kilomita a cikin awa ɗaya (km/h) ko mil a kowace awa (mph), ta ninka ta hanyar da ta dace.

Don wani abu mai tafiya mita 500 a cikin mintuna 3, canza minti 3 zuwa daƙiƙa 180, sannan raba: 500/180 = 2.78 m/s. Don bayyana sakamakon a cikin km/h, ninka ta 3.6: 2.78 x 3.6 = 10.0 km/h.

Ma'amala: Ƙididdigar mataki-mataki

Shigar da ƙididdiga don ganin ana lissafin kowane mataki a cikin ainihin lokaci.

1Kaura: 500 m
2Lokaci: 180 s
3v = d / t = 2.78 m/s
4Maida x 3.6 = 10.00 km/h

Ƙididdigar Gudun Ta amfani da Nisa da Lokaci

Don ƙididdige saurin gudu ta amfani da nisa da lokaci, yi amfani da v = d / t, maye gurbin knmaurawar kansa da ƙimar lokaci.

Misali, mota tana ɗaukar mil 70 a cikin awa 1. Matsakaicin matsakaicin gudu ya kai 70 mph. Matsala ɗaya da aka bayyana a cikin sassan tsarin SI ta zama 112.65 km/h ko 31.29 m/s bayan daidaitaccen juzu'in juzu'i.

Abubuwan la'akari guda 3 suna shafar lissafin nesa-da-lokaci:

  • Matsakaicin gudun da alkibla. Ma'aunin saurin v = d / t yana ɗaukar hanyar motsi iri ɗaya. Don bambance-bambancen gudu a cikin sassa, canza zuwa matsakaicin dabarar saurin gudu.
  • Kaura vs nisa. Gudun yana amfani da ƙaura (vector). Gudun yana amfani da nisa (mai sikeli). Hanyoyi biyu masu tsayi iri ɗaya na iya samar da hanyoyi daban-daban idan kwatancensu ya bambanta.
  • Daidaiton raka'a. Nisa a cikin mita da lokaci a cikin daƙiƙa yana haifar da sauri a cikin m/s. Nisa a cikin kilomita da lokaci a cikin sa'o'i yana haifar da sauri a cikin km/h.
Ma'amala: Distance & Time Explorer

Jawo masu nunin faifai. Kalli mai gudu ya rufe waƙar a sakamakon gudu.

v = 10.00 m/s 36.00 km/h 22.37 mph

Yi lissafin Gudu tare da Haɗawa da Lokaci

Don ƙididdige gudu tare da hanzari da lokaci, yi amfani da v = u + a · t, inda u ke farkon gudu, a hanzari, kuma t lokaci ne.

Don motar tseren da ta fara daga hutawa tare da hanzarin 6.95 m/s2 sama da daƙiƙa 4, canjin gudu yana daidai da 6.95 x 4 = 27.8 m/s. Gudun ƙarshe ya yi daidai da 27.8 m/s, wanda ke juyawa zuwa kusan 100 km/h bayan an ninka ta 3.6.

Matakai 4 sun bayyana lissafin saurin-da-lokaci:

  1. Gano saurin farko (u). Yi rikodin saurin a t = 0, wanda shine 0 m/s don wani abu da ya fara daga hutawa.
  2. Ƙaddara hanzari (a). Yi amfani da m/s2 don tsarin SI. Daidaitaccen nauyi yayi daidai da 9.81 m/s2 kusa da saman Duniya.
  3. Ƙara haɓakawa ta lokaci. Samfurin a · t yayi daidai da canjin gudu.
  4. Ƙara saurin farko. Gudun ƙarshe v daidai da ku tare da canjin gudu daga mataki na 3.
Ma'amala: Gudun Ƙarƙashin Haɗawa

Daidaita hanzari da lokaci don ganin yadda sauri ke girma.

v = ku + a = 27.80 m/s 100.08 km/h

Gudu vs Speed

Gudu wani nau'i ne na vector wanda ya haɗa da girma da kuma alkibla, yayin da gudun shine ƙima mai ƙima wanda ke yin rikodin girma kawai. Mota mai tafiya 60 mph arewa tana da gudu dabam dabam da wadda ke tafiya 60 mph kudu, ko da yake dukkansu suna gudu iri ɗaya.

Bambance-bambance 4 sun bambanta gudu da sauri:

  • Vector vs scalar. Gudu vector ne. Gudu shine scalar.
  • Alama. Gudun gudu na iya zama mara kyau lokacin da motsi ya saba wa ingantacciyar hanya. Gudu koyaushe ba mara kyau ba ne.
  • Tushen lissafin. Gudun yana amfani da ƙaura. Gudun yana amfani da jimlar tazarar da aka yi tafiya tare da hanyar.
  • Tafiya zagaye. Tafiya-tafiya tana haifar da matsakaicin matsakaicin sifili saboda ƙaura ba komai bane. Matsakaicin gudun yana kasancewa tabbatacce saboda jimlar nisa yana da inganci.

Gudu, gudu, hanzari, da ƙaura sune ainihin ƙamus na kinematic da aka yi amfani da su don kwatanta motsi a cikin ilimin kimiyyar lissafi, injiniyanci, da ƙididdigar ƙididdiga na ballistic.

Interactive: Vector vs Scalar Comparison

Danna kowane gefe don haskaka yadda gudu ya bambanta da gudu.

Gudu (Vector)
60 mph gabas

Girma + shugabanci. Alamun alamu. Ana amfani dashi a cikin injiniyoyi na gargajiya da kewayawa.

Gudun (Scalar)
60 mph

Girma kawai. Koyaushe tabbatacce. Ana amfani dashi don karatun odometer da nisa kowane lokaci.

Mota mai tafiya 60 mph gabas tana da saurin +60 mph gabas. Mota ɗaya da ke dawowa a 60 mph yamma tana da saurin -60 mph gabas. Gudun yana saura 60 _TOKEN_4__ a dukkan bangarorin biyu.

Gudu tare da Mass, Ƙarfi, da Makamashi

Haɗin gudu zuwa taro, ƙarfi, da kuzari ta hanyar doka ta biyu ta Newton (F = m a) da ma'aunin makamashi na motsi (KE = 1/2 m v2). Mass yana haɓaka ƙarfin motsa jiki da aka adana a cikin jiki mai motsi.

3 equities suna haɗa gudu zuwa taro, ƙarfi, da kuzari:

  • Ƙarfin kuzari: KE = 1/2 m v2. Mota mai nauyin kilogiram 1000 a 20 m/s tana ɗaukar 200,000 J na makamashin motsa jiki.
  • Lokaci: p = m v. Abu mai nauyin kilogiram 5 a 10 m/s yana da saurin 50 kg·m/s.
  • Karfi daga canjin gudu: F = m Δv / Δt. Canjin saurin gudu a kowane lokacin raka'a, wanda aka ninka ta da yawa, yayi daidai da ƙarfin ragar da ke aiki akan abu.

E=mc2 na Albert Einstein yana faɗaɗa alaƙar kuzari-gudu zuwa saurin ɗanɗano, inda makamashin motsa jiki ke kusanci marar iyaka yayin da saurin ke kusanci saurin haske. Ƙarfin motsi na jujjuya yana amfani da saurin kusurwa da yawan lokacin rashin aiki a maimakon adadi na layi.

Ma'amala: Makamashin Kinetic daga Gudu

Daidaita taro da sauri don ganin kuzarin motsa jiki da sabuntawa.

Kinetic Energy 200,000 J KE = 1/2 x m x v2
Ƙaddamarwa 20,000 kg·m/s p = m x v

Matsakaicin Tsara Tsara Tsare-tsare da Raka'a

Matsakaicin dabarar saurin gudu shine v̄ = (v1t1 + v2t2 + ...) / (t1 + t2 + ...), matsakaicin nauyin lokaci a cikin sassan tafiya.

Misali, direba yana motsawa a 25 mph na awa 1 a cikin birni, sannan 70 mph na tsawon awa 3 akan babbar hanya. Matsakaicin saurin gudu ya yi daidai (25 x 1 + 70 x 3) / (1 + 3) = 58.75 mph, wanda ke zagaye zuwa 59 mph.

Raka'o'in saurin gudu 4 sun bayyana a ko'ina cikin sassan masarautar Burtaniya da tsarin SI:

  • Mita a sakan daya (m/s). Ƙungiyar tushe SI don saurin mizani.
  • Kilomita a kowace awa (km/h). Yawanci a cikin zirga-zirgar ababen hawa da rahotannin yanayi a wajen Amurka.
  • Miles a kowace awa (mph). Daidaitaccen sashin mulkin mallaka na Biritaniya don iyakoki na sauri da rahoton abin hawa a cikin Amurka.
  • Kafa a sakan daya (ft/s). An yi amfani da shi a cikin ƙididdigar ƙididdiga na ballistic, mashin ɗin sauri, da aikin ɗan gajeren nesa.
Ma'amala: Matsakaicin Sashe Mai Yawa & Mai Canja Raka'a

Gyara sassan ƙasa. Duba matsakaicin matsakaicin nauyi na lokaci a duk raka'a 4.

Kashi na 1
Kashi na 2
m/s 26.32
km/h 94.75
mph 58.87
ft/s 86.34

An shigar da saurin gudu a cikin mph; lokaci a cikin sa'o'i. Juyawa yana amfani da 1 mph = 0.44704 m/s.

Gudu a Kinematics

Kinematics yana kwatanta motsi ta amfani da ma'auni 4 waɗanda ke haɗa ƙaura, saurin farko, saurin ƙarshe, haɓakawa, da lokaci, ba tare da la'akari da ƙarfin da ke haifar da motsi ba.

4 kinematic equations rufe akai-akai motsi motsi:

  1. v = ku +t. Gudun ƙarshe daga saurin farko, haɓakawa, da lokaci.
  2. s = u t + 1/2 a t2. Maɓalli daga saurin farko, haɓakawa, da lokaci.
  3. v2 = u2 + 2 a s. Matsakaicin saurin ƙarshe ya yi murabba'i daga farkon gudu, hanzari, da ƙaura.
  4. s = 1/2 (u + v) t. Maɓalli daga matsakaita na saurin farko da na ƙarshe, wanda aka ninka ta lokaci.

Kinematics kuma yana rufe hanzarin angular da saurin kusurwa don motsin juyawa. Haka tsarin ma'auni guda 4 ya shafi, tare da madaidaitan adadi wanda aka maye gurbinsu da takwarorinsu na kusurwa.

Ma'amala: Kinematic Equation Picker

Duba abin da kuke kn. Mai zaɓe yana nuna wace ma'auni ke warwarewa na unknna.

v = ku + ku
Warware don saurin ƙarshe (v) ta amfani da saurin farko, haɓakawa, da lokaci.

Gudu a matsayin Ƙimar Vector

Gudu wani nau'in vector ne, wanda aka siffanta shi da girma da shugabanci a sararin samaniya. Wakilin vector yana amfani da sassa 2 ko 3, ɗaya a kowace gaɓar daidaitawa.

Kaddarorin 3 sun bayyana saurin a matsayin vector:

  • Girma. Tsawon yanayin saurin, wanda aka bayyana a cikin m/s, km/h, mph, ko ft/s. Girman yana daidaita madaidaicin saurin abu.
  • Hanyar. Matsakaicin yanayin motsi a cikin zaɓaɓɓen firam ɗin tunani, galibi ana siffanta shi tare da kusurwoyi masu ɗaukar hoto a kewayawa ko raka'a vectors a kimiyyar lissafi.
  • Abubuwan da aka gyara. Vector mai girma mai girma 2 yana lalacewa zuwa abubuwan vx da vi. Vector mai girma 3 yana ƙara v₝.

Ƙididdigar ƙididdiga na goyan bayan ƙarar saurin juzu'i don motsi mai sauri, ƙididdige tasirin Coriolis a cikin firam marasa aiki, da abun da ke cikin sauri yayin nazarin kwararar ruwa.

Ma'amala: Velocity Vector

Jawo kusurwa da girma don jujjuya motsin saurin gudu.

vx = 7.07 m/s vi = 7.07 m/s

Gudu daga Tsawo ko nauyi

Gudun daga tsayi yana aiki da ƙididdiga v = √(2 g h), inda g shine haɓakar haɓakar gravitational (9.81 m/s2 kusa da saman Duniya) kuma h shine tsayin digo. Wannan dabarar tana ɗaukar abu mai faɗuwa kyauta ba tare da juriyar iska ba.

Nau'o'in saurin gudu 3 suna da alaƙa da tsayi da nauyi:

  • Gudun faɗuwa kyauta. Wani abu da aka sauke daga tsayi h ya kai v = √(2 g h) a tasiri, yana watsi da ja.
  • Gudun tasha. Matsakaicin saurin da aka kai lokacin faɗuwar kyauta ta ruwa (iska, ruwa). Matsakaicin saurin ya dogara da yawan ruwa, ja daɗaɗɗen, taro, da yanki mai giciye. Matsakaicin ɗan adam yana kaiwa kashi 99% na saurin ƙarshen a cikin kusan daƙiƙa 15 yayin da ciki ya fuskanci ƙasa.
  • Gudun tserewa. Matsakaicin saurin da ake buƙata don shawo kan jan hankali na jikin sama. Gudun gudun hijirar duniya ya kai kusan 11.2 km/s (25,020 mph). Gudun tserewa shine tsakiya ga ilimin taurari da balaguron sararin samaniya.
Ma'amala: Na'urar kwaikwayo na Faɗawa Kyauta

Sauke kwallon daga tsayin da aka zaɓa. Kalli saurin girma.

Gudun tasiri = 44.29 m/s 159.44 km/h Lokaci = 4,52s ku

v = √(2 · 9.81 · h). Gudun gudun hijirar duniya yana zaune a 11.2 km/s. Matsakaicin saurin mai hawa sama yana shawagi kusa da 53 m/s a cikin yanayin ƙasa.

Jarumin Kalkuleta Mai Sauri

Jadawalin saurin-lokaci yana ƙulla gudu akan y-axis da lokaci akan axis x, inda gangare yayi daidai da haɓakawa kuma yankin da ke ƙarƙashin lanƙwan yayi daidai da ƙaura.

Tsarin jadawali 4 yana bayyana halayen motsi:

  • Layin kwance. Matsakaicin saurin ci gaba, saurin sifiri.
  • Madaidaicin layi tare da gangara mai kyau. Matsakaicin tabbataccen hanzari na yau da kullun, saurin yana girma a layi tare da lokaci.
  • Madaidaicin layi tare da gangara mara kyau. Tsayawa ta yau da kullun, saurin gudu yana faɗuwa akan layi har ya kai sifili ko juyawa.
  • Layi mai lanƙwasa. Sauyawa mai canzawa, gama gari a cikin ruɗar ruwa, injina mai sauri, ko harba roka tare da rage yawan man mai.

gangara a kowane wuri akan jadawali-lokacin gudu yayi daidai da hanzarin gaggawa. Juya jadawali don karanta saurin, lokaci, da gangara a wurin.

Ma'amala: Gudu vs Time Graph

Juya jadawali don karanta saurin, lokaci, da hanzari a kowane lokaci.

Tambayoyin da ake yawan yi

Amsoshin tambayoyin gama-gari game da lissafin saurin gudu da nazarin motsi

Ee, ana iya ƙididdige saurin gudu lokacin ƙaura da lokaci knnasu ne, ko kuma lokacin saurin farko, haɓakawa, da lokacin knna ne. Aiwatar da v = d / t don motsi akai-akai, v = u + a t don ci gaba akai-akai, ko bambanta aikin matsayi dangane da lokaci don saurin gaggawa.

Aiwatar da ma'auni v = u + a · t, inda kuka kasance farkon gudu, a hanzari, kuma t lokaci ne. Idan kun daidaita sifili (abu yana farawa daga hutawa), dabarar ta rage zuwa v = a · t. Misali, abin da ke hanzari a 5 m/s2 na daƙiƙa 4 ya kai saurin 20 m/s.

Ƙara saurin gudu da lokacin da ya wuce don canza gudu zuwa nisa: d = v · t. Don canza saurin gudu, haɗa aikin gudu dangane da lokaci, ko a yi amfani da s = u t + 1/2 a t2 lokacin da hanzari ya kasance akai. Mota a 20 m/s na daƙiƙa 30 tana ɗaukar mita 600.

Ee, ana ƙididdige saurin gudu tare da ƙaura, ba jimlar tafiya ba. Maɓalli shine madaidaicin layin vector daga farko zuwa ƙarshe. Nisa shine jimillar tsayin hanya. Tafiya-tafiya tana haifar da sauye-sauyen sifili don haka matsakaicin saurin gudu ba shi da tsada, kodayake jimlar tazarar tana da kyau.

A'a, ana ƙididdige saurin gudu ta amfani da matsawa (vector), yayin da ake ƙididdige saurin ta amfani da jimlar nisa (ma'auni). Gudun ya haɗa da hanya; saurin rikodin girma kawai. Gudun gudu na iya zama mara kyau; gudun ba zai iya ba. Girman saurin gudu yayi daidai da madaidaicin gudu a kowane lokaci.

A'a, matsakaita gudu shine ƙaura da aka raba ta jimlar lokaci, yayin da saurin nan take shine saurin a wani takamaiman lokaci cikin lokaci. Matsakaicin saurin gudu yana bayyana gaba ɗaya tafiya. Gudun saurin kai tsaye yayi daidai da abin da aka samu na matsayi dangane da lokaci. Dabi'u biyu daidai suke kawai lokacin da motsi ke faruwa a koyaushe.

Ee, gudun iya zama goma sha ɗaya. Gudun ci gaba da yawa ne, don haka kowane lamba na gaske yana aiki. Misalai sun haɗa da 2.78 m/s don wani abu mai ɗaukar mita 500 a cikin mintuna 3, ko 0.45 m/s don mai tafiya a hankali. Ma'auni na sauri na goma daidai ne a ma'aunin kimiyya, ƙididdigar ƙididdiga na ballistic, da kwaikwaiyon kuzarin ruwa.

Ee, gudu na iya zama mara kyau. Gudu vector ne. Alamar da ba ta dace ba tana nuna motsi a kishiyar madaidaicin axis da aka ayyana don matsalar. Abubuwa biyu masu motsi tare da daidaita amma sabanin gudu suna raba gudu ɗaya yayin da suke kan gaba.

Ƙarfin net ɗin da ke aiki akan abu yana haifar da canji cikin sauri, bisa ga doka ta biyu ta Newton (F = m a). Dalilai guda 4 na yau da kullun na canjin gudu suna bayyana a cikin ilimin lissafi:

  1. karo Abu mai motsi yana bugun wani abu yana musanyawa da sauri, yana rage gudu ko dakatar da ainihin motsin.
  2. Girman nauyi. Juyin nauyi yana hanzarta abubuwa zuwa jikin sama har sai sun isa iyakar gudu.
  3. Korar taro. Roka yana fitar da kwayoyin halitta, yana kara saurinsa zuwa wani bangare.
  4. Gogayya ko ja. Juriya na iska ko jujjuyawan saman yana rage gudu akan lokaci, musamman lokacin birki na gaggawa.

Gudu shine ƙimar canjin matsayi dangane da lokaci, yayin da hanzari shine ƙimar canjin saurin dangane da lokaci. Gudun yana amfani da raka'a na m/s. Hanzarta yana amfani da raka'a na m/s2. A kan jadawali-lokacin gudu, gangaren yana daidai da hanzari. Haɗawa yana haifar da saurin canzawa.

Nemo saurin farko (u) ta hanyar sake tsara ma'auni na kinematic wanda ya ƙunshi u. Hanyoyi 4 sun rufe mafi yawan lokuta:

  1. Idan v, a, da t sune knnasu: u = v - a t.
  2. Idan s, v, da t sune knnasu: u = 2(s/t) - v.
  3. Idan s, v, da a sune knnasu: u = √(v2 - 2 a s).
  4. Idan s, a, da t sune knnasu: u = (s/t) - (a t/2).

Nemo saurin ƙarshe (v) ta hanyar zaɓar ma'aunin motsi wanda yayi daidai da adadin knna kansa. Abubuwa 3 suna rufe yawancin matsalolin:

  1. Idan ku, a, da t sune knnasu: v = u + a t.
  2. Idan ku, a, da s knnasu ne: v = √(u2 + 2 a s).
  3. Idan s, ku, da t sune knnasu: v = 2(s/t) - u.

Nemo saurin gaggawa ta hanyar bambance aikin matsayi dangane da lokaci: v(t) = dx/dt. Matakai 4 sun kammala aikin:

  1. Gano ma'auni wanda ke bayyana yadda matsayi x ya canza tare da lokaci t.
  2. Bambance aikin matsayi dangane da lokaci.
  3. Sauya lokacin da ake so a cikin abin da aka samo asali.
  4. Karanta ƙimar da aka samu azaman saurin sauri a wancan lokacin.

Mafi girman gudu shine iyakar gudu da aka samu yayin taron motsi. A kan jadawali-lokacin gudu, mafi girman gudu yana zaune a mafi girman madaidaicin lanƙwasa. Misalai sun haɗa da matsakaicin matsakaicin saurin ɗan tsere a tsakiyar tsere, kololuwar saurin fistan yayin zagayowar injin, ko mafi girman karatun da aka yi rikodin lokacin injina mai sauri.

Matsakaicin ɗan adam ya kai kashi 99% na saurin ƙarshen a cikin kusan daƙiƙa 15 yayin da yake cikin yanayin ƙasa. Isar daidai 100% na saurin tasha ba zai yuwu a lissafin lissafi ba saboda hanzari yana faɗuwa da ƙarfi yayin da abin da ke faɗuwa kyauta ya kusanci iyaka. Matsayin jiki, yawan ruwa, da yanki na yanki suna canza lokacin da ake buƙata.

Gudun tserewa shine mafi ƙarancin gudu da abu ke buƙata don shawo kan jan hankali na jikin sama da tafiya ba tare da ƙarin motsawa ba. Gudun gudun hijirar duniya ya kai kusan 11.2 km/s (25,020 mph). Gudun gudun hijirar wata yana kusa da 2.38 km/s. Gudun tserewa shine tushen tushe a cikin ilimin taurari da balaguron sararin samaniya.

Aiwatar da ma'auni ve = √(2 G M / r), inda G shine ma'aunin nauyi (6.674 x 10-11 N·m2/kg2), M shine girman jikin sama a kilogiram, kuma r shine radius a mita. Matakai 4 sun rufe lissafin:

  1. Yi rikodin girman jikin sama M a kilogiram da radius r a mita.
  2. ninka 2 x G x M.
  3. Raba sakamakon da r.
  4. Ɗauki tushen murabba'in. Fitowar ita ce gudun tserewa a cikin mita a sakan daya.